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kramer
3 years ago
7

Why is 2 + (−3) equal to −1?

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0
Beacuse there are more negatives than positive. 3-2=1 just put negatives with it.
Nataly_w [17]3 years ago
8 0

Answer:

when you minis a negative number from a positive you would subtract but scene you have a positive plus a negative you would take it as 2 - 3 becuse the 3 is negative

Step-by-step explanation:

2+-3 is -1

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
Given f(x)=4x^2-9 and g(x)=2x+3 find each function or value<br> (f-g)(4)
yulyashka [42]
(f-g)(x) = 4x²-2x-12 which,evaluated at x=4, gives 64-8-12=44
4 0
3 years ago
A triangle has sides with length of 5 yards,14 yards,and 16 yards.is it a right triangle
Anna35 [415]

Answer:

As the largest side is  

15

yards and smaller sides are  

9

yards and  

12

yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Square of largest side is  

15

2

=

225

and squares of smaller two sides are  

9

2

=

81

and  

12

2

=

144

.

As  

225

=

81

+

144

, the triangle is right angled.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Dennis mowed his next door neighbor's lawn for a handful of dimes and nickels 80 coins in all. upon completing the job he counte
lbvjy [14]
54 Dimes and 28 nickles 
6 0
3 years ago
True or false.200centimeters=2meter
katovenus [111]

Answer:

<h2>True</h2>

Step-by-step explanation:

1 meter = 100 centimeters

therefore 2m = 2(100cm) = 200cm

6 0
3 years ago
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